saddle node bifurcation

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In the mathematical area of bifurcation theory a saddle-node bifurcation or tangential bifurcation is a local bifurcation in which two fixed points (or equilibria) of a dynamical system collide and annihilate each other. The term 'saddle-node bifurcation' is most often used in reference to continuous dynamical systems. In discrete dynamical systems, the same bifurcation is often instead called a fold bifurcation. Another name is blue skies bifurcation in reference to the sudden creation of two fixed points
saddle node bifurcation

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    sad·dle node bi·fur·ca·tion

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    sädıl nōd bayfırkeyşın

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    /ˈsadəl ˈnōd ˌbīfərˈkāsʜən/ /ˈsædəl ˈnoʊd ˌbaɪfɜrˈkeɪʃən/